Convert from Base 10 to Base 16​

Base 10 to Base 16 Calculator







To convert from Base 10 to Base 16 quickly and accurately, use our Base 10 to Base 16 calculator. Simply enter a decimal number, and the tool will instantly provide the step-by-step conversion process.

How to Convert Base 10 to Base 16 Step by Step

Converting a decimal (Base 10) number to hexadecimal (Base 16) involves dividing the number by 16 and recording the remainders. Follow these simple steps:

  1. Divide the decimal number by 16.
  2. Record the remainder (this will be a digit in the hexadecimal result).
  3. Repeat the division process with the quotient until it becomes zero.
  4. Convert remainders to hexadecimal digits:
    • Digits 0-9 remain the same.
    • Remainders 10-15 are represented by letters A-F (A = 10, B = 11, …, F = 15).
  5. Read the hexadecimal result from bottom to top (last remainder first).

Base 10 to Base 16 Formula

The mathematical formula for base 10 to base 16 conversion follows this pattern:

Where:

  • is the decimal number,
  • represents each digit in hexadecimal,
  • is the position of the digit (starting from 0 on the right).

Converting Base 10 to Base 16

Let’s put the formula into action with an example.

Base 10 to Base 16 Conversion Examples

301 Base 10 to Base 16

  1. 301 ÷ 16 = 18 remainder 13 (D → Hex)
  2. 18 ÷ 16 = 1 remainder 2
  3. 1 ÷ 16 = 0 remainder 1

Thus, 301 (Base 10) = 12D (Base 16).

What is 0.865 from Base 10 to Base 16?

To convert 0.865 to hexadecimal:

  1. Multiply 0.865 × 16 = 13.84 → Integer part: D, Fractional part: 0.84
  2. Multiply 0.84 × 16 = 13.44 → Integer part: D, Fractional part: 0.44
  3. Multiply 0.44 × 16 = 7.04 → Integer part: 7

So, 0.865 (Base 10) ≈ 0.DD7 (Base 16).

What is the Base 10 of 283 to Base 16?

  1. 283 ÷ 16 = 17 remainder 11 (B → Hex)
  2. 17 ÷ 16 = 1 remainder 1
  3. 1 ÷ 16 = 0 remainder 1

Thus, 283 (Base 10) = 11B (Base 16).

Related conversion: Base 10 to Base 2